1) The probability density function of a random variable X is given by f(x) = 1

Question

1) The probability density function of a random variable X is given by f(x) = 1 for 0 <= x <= 1 and 0 elsewhere. Then P(X = 0.25) = (I believe it is 0, is that right?) a. 0.00001 b. 0.5 c. 0 d. 0.25 2) Forty percent of the students taking Statistics 101 this semester bought a new book while the remaining 60% either bought a used book already had one. If four students taking Statistics 101 are selected at random, what is the probability that exactly two bought new books? a. 0.50 b. 0.8208 c. 0.5248 d. 0.3456 3)A a biased coin is tossed 5 times. For this coin, p = probability of a Head = 0.6. What is the probability of a run of 4 Heads (i.e., an outcome contains 4 Heads in succession, but not 5). a. 0.1037 b. 0.6630 c. 0.0518 d. 0.3456

Explanation / Answer

1) f(x) = 1 for 0

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